February 26th, 2008, 03:35 PM  #1 
Newbie Joined: Jan 2008 Posts: 5 Thanks: 0  real analysis?
1. For x>1, x not = 0, show that: (1+x)^a > 1+ax, if a>1 or a<0, (1+x)^a < 1+ax, if 0<a<1 2. Prove that if F is continuous of [a,b] and differentiable on (a,b) and if F’(x) is not zero for any x strictly between a and b, then F(b) not equal to F(a) 3. Show the approximate formula SqRt(1+x) = 1 + 1/2x  1/8x^2 gives SqRt(1+x) with an error not greater than x^3 / 2, if x < 1/2 

Tags 
analysis, real 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Prove between Real Analysis and Complex Analysis  uniquesailor  Real Analysis  2  January 3rd, 2012 09:56 PM 
real analysis  rose3  Real Analysis  1  October 22nd, 2009 10:00 AM 
real analysis  rose3  Real Analysis  1  October 18th, 2009 09:38 AM 
real analysis  elenaas  Real Analysis  2  October 4th, 2009 01:36 PM 
real analysis  eleni12344  Real Analysis  0  April 16th, 2009 12:14 PM 